Acronym | dudsi |
Name |
small noble triangular hexecontahedron, dual of D-stellation of icosahedron, D-faceting of dodecahedron, vertex figure of paphicki |
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Circumradius | sqrt(3)/2 = 0.866025 |
Vertex figure |
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Coordinates |
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General of army | v-doe |
Face vector | 20, 90, 60 |
External links |
Although dudsi is more directly been seen as a faceting of the dodecahedron, it well can be considered dually as being related to a stellation of the icosahedron. For the latter the du Val namings of complete shells, being used in turn within the set of "the fifty-nine [stellated] icosahedra", got known as a standard. The former lack such a standard. This is why the acronym is based on the dual figure.
As an abstract polyhedron dudsi is isomorph to hudsi, thereby maintaining the q-edges, but replacing the v-edges by f-edges, resp. replacing the triangular faces from being stip vertex figures into being pip vertex figures. – It then still remains vertex inscribed into a v-doe.
20 | 6 3 | 9 ---+-------+--- 2 | 60 * | 2 q 2 | * 30 | 2 v ---+-------+--- 3 | 2 1 | 60 verf(stip)
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